Poloni, Federico.
Algorithms for Quadratic Matrix and Vector Equations [electronic resource] / by Federico Poloni. - 250p. online resource. - Tesi/Theses ; 16 . - Tesi/Theses ; 16 .
This book is devoted to studying algorithms for the solution of a class of quadratic matrix and vector equations. These equations appear, in different forms, in several practical applications, especially in applied probability and control theory. The equations are first presented using a novel unifying approach; then, specific numerical methods are presented for the cases most relevant for applications, and new algorithms and theoretical results developed by the author are presented. The book focuses on “matrix multiplication-rich” iterations such as cyclic reduction and the structured doubling algorithm (SDA) and contains a variety of new research results which, as of today, are only available in articles or preprints.
9788876423840
10.1007/978-88-7642-384-0 doi
Mathematics.
Algebra.
Mathematics.
Algebra.
QA150-272
512
Algorithms for Quadratic Matrix and Vector Equations [electronic resource] / by Federico Poloni. - 250p. online resource. - Tesi/Theses ; 16 . - Tesi/Theses ; 16 .
This book is devoted to studying algorithms for the solution of a class of quadratic matrix and vector equations. These equations appear, in different forms, in several practical applications, especially in applied probability and control theory. The equations are first presented using a novel unifying approach; then, specific numerical methods are presented for the cases most relevant for applications, and new algorithms and theoretical results developed by the author are presented. The book focuses on “matrix multiplication-rich” iterations such as cyclic reduction and the structured doubling algorithm (SDA) and contains a variety of new research results which, as of today, are only available in articles or preprints.
9788876423840
10.1007/978-88-7642-384-0 doi
Mathematics.
Algebra.
Mathematics.
Algebra.
QA150-272
512